My thought process in an approach to a patient with a PTX that doesn't re-expand with chest tube placement:
1) Is patient stable? If no, I'd be more likely to either reposition the tube or place another one. If yes, I'd be more likely to consider other options. Also, is the chest tube working? Have I run the system? Do they have an air leak? What kind? Is the chest tube really in the chest cavity? I've seen chest tubes that look perfect on portable Xray that are tracking sub cutaneously behind the chest cavity.
2) Is there anything about this patient that would make additional imagine helpful? Age, smoking status, prior lung surgery, etc. may make a CT of the chest helpful, while a straightforward young trauma patient may just need another tube.
3) If it's a trauma patient, am I missing another injury? Do I need to bronch the patient to look for a tracheal or high bronchial injury?
I'm sure if I thought about this more, I'd come up with other thoughts, but these are mine off the top of my head.